Some results on classifier selection with missing covariates

被引：2
|
作者：
Mojirsheibani, Majid [1 ]
机构：
[1] Carleton Univ, Sch Math & Stat, Ottawa, ON K1S 5B6, Canada
来源：
METRIKA | 2012年 / 75卷 / 04期
关键词：
Classification; Empirical process; Shatter coefficient; Incomplete covariates; Kernel; EMPIRICAL MEASURES;
D O I：
10.1007/s00184-010-0340-6
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
Methods are proposed to choose classifiers from a given collection of classifiers when there are missing covariates in the data. Two situations are considered: (i) the case where the new observation (to be classified) has no missing covariates and (ii) the case where the new observation is also allowed to have missing covariates. Using arguments from the empirical process theory, exponential performance bounds will be derived for the resulting classifiers. Such bounds, together with the Borel-Cantelli lemma, yield various strong consistency results.
引用
收藏
页码：521 / 539
页数：19
相关论文
共 50 条
  • [21] Semi-parametric regression when some (expensive) covariates are missing by design
    Göran Kauermann
    Mehboob Ali
    [J]. Statistical Papers, 2021, 62 : 1675 - 1696
  • [22] Semi-parametric regression when some (expensive) covariates are missing by design
    Kauermann, Goeran
    Ali, Mehboob
    [J]. STATISTICAL PAPERS, 2021, 62 (04) : 1675 - 1696
  • [23] Regression Analysis with Covariates Missing at Random: A Piece-wise Nonparametric Model for Missing Covariates
    Zhao, Yang
    [J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2009, 38 (20) : 3736 - 3744
  • [24] Cox Regression with Covariates Missing Not at Random
    Cook V.J.
    Hu X.J.
    Swartz T.B.
    [J]. Statistics in Biosciences, 2011, 3 (2) : 208 - 222
  • [25] Methods for missing covariates in logistic regression
    Paik, MC
    [J]. COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 2000, 29 (01) : 1 - 19
  • [26] Proportional hazards regression with missing covariates
    Chen, HY
    Little, RJA
    [J]. JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1999, 94 (447) : 896 - 908
  • [27] Nonparametric regression with selectively missing covariates
    Breunig, Christoph
    Haan, Peter
    [J]. JOURNAL OF ECONOMETRICS, 2021, 223 (01) : 28 - 52
  • [28] Missing covariates in competing risks analysis
    Bartlett, Jonathan W.
    Taylor, Jeremy M. G.
    [J]. BIOSTATISTICS, 2016, 17 (04) : 751 - 763
  • [29] Sequential BART for imputation of missing covariates
    Xu, Dandan
    Daniels, Michael J.
    Winterstein, Almut G.
    [J]. BIOSTATISTICS, 2016, 17 (03) : 589 - 602
  • [30] QUANTILE REGRESSION WITH COVARIATES MISSING AT RANDOM
    Wei, Ying
    Yang, Yunwen
    [J]. STATISTICA SINICA, 2014, 24 (03) : 1277 - 1299
12345